6 citations · 17 across the 4 of their papers we have counts for
4 papers
Applications of continuous functions in topological CAD data
Norbert Paul
Most CAD or other spatial data models, in particular boundary representation models, are called "topological" and represent spatial data by a structured collection of "topological…
Dimension of Alexandrov Topologies
Patrick Erik Bradley, Norbert Paul
We prove that the Krull dimension of an Alexandrov space of finite height can be characterised with the specialisation preorder of its associated -space.
Integrating Space, Time, Version and Scale Using Alexandrov Topologies
Norbert Paul, Patrick Erik Bradley, Martin Breunig
This article introduces a novel approach to spatial database design. Instead of extending the canonical Solid-Face-Edge-Vertex schema by, say, "hypersolids" these classes are gener…
Signed Simplicial Decomposition and Overlay of n-D Polytope Complexes
Norbert Paul
Polytope complexes are the generalisation of polygon meshes in geo-information systems (GIS) to arbitrary dimension, and a natural concept for accessing spatio-temporal information…